1.9. Construct an example where I(X+) = "'(X-)-+00 [ L 1 (r 1 -+00 and S In ~ a.e. Hll\7: e6 0 < a < fJ < 1 and take adJ. F such that 1 _ F (X;I,......, x-a as x ~ 00, and J-oo Ixltl dF(x) < 00. Show that L jj){ m~x X-!-::::: n Ila'} < 00 n I::::J::::n J for every a' > a and use Exercise 3 for ~n X-Th' 1 . d D . L..,j=I j' IS examp e IS ue to erman a~d Robbms. Necessary and sufficient condition for Sllln ~ +00 has been gIven recently by K. B. Erickson.